On the meaning of the park power components in three‐phase systems under non‐sinusoidal conditions

Abstract

The definition and measurement of the power components in three‐phase systems under non‐sinusoidal conditions is becoming more and more an up‐to‐date problem. Some theories have already been proposed to face this problem, but the proposed solutions are not completely satisfactory, in particular when unsymmetrical, unbalanced systems are concerned. The study of three‐phase systems in terms of the Park transformation seems to be more attractive than other proposed methods. The present paper, after a short review of the properties of the Park transformation, discusses the physical meaning of the power components defined employing it, proposes a measuring equipment for the measurement of the defined power components and shows the results of some experimental work.

Mathematical foundations of the instantaneous power concepts: An algebraic approach

“…In this paper the fundamentals of the hypercomplex number algebra have been employed to define a mathematical framework for the analysis of three-phase systems. This algebraic approach leads to the definitions of instantaneous power Components that generalize the instantaneous power concepts proposed in [ 1,2] and [5,6].…”

Area-Based Approach in Power Quality Assessment

“…In such conditions, measurement and monitoring of power quality in respect of its unbalance and harmonics have been presented in different publications [8][9][10][11][12][13], and different modern mathematical tools have also been utilized to estimate the unbalance in power in a system [14,15]. There are several existing methods for the detection of the current harmonics like fast Fourier transform (FFT), instantaneous p-q theory, synchronous dq reference theory, analog or digital filters, and so forth [16]. In some cases, passive filters are also used, but they are having the drawbacks of bulky components, fixed compensated characteristics, sensitivity to line impedance, and series and parallel resonance with system.…”

Clarke and Park Transform

“…A general rotating reference frame has then been introduced. This frame is described by d and q axes Clarke, Park and Inverse Park transformations have been described [1,2]. Through the use of the Clarke transformation, the real and imaginary currents can be identified.…”